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231335506044 = 223271472319163
BaseRepresentation
bin1101011101110010101…
…0111011000001111100
3211010010011120022202100
43113130222323001330
512242233342143134
6254135110425100
722466465233326
oct3273452730174
9733104508670
10231335506044
118a121953735
1238a01962190
1318a792a1426
14b2a7a50616
15603e453999
hex35dcabb07c

231335506044 has 72 divisors (see below), whose sum is σ = 593157382272. Its totient is φ = 76005689760.

The previous prime is 231335506019. The next prime is 231335506067. The reversal of 231335506044 is 440605533132.

231335506044 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 3 + 550 + 60 + 44 = 666.

It is a super-2 number, since 2×2313355060442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12062407 + ... + 12081569.

It is an arithmetic number, because the mean of its divisors is an integer number (8238296976).

Almost surely, 2231335506044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231335506044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296578691136).

231335506044 is an abundant number, since it is smaller than the sum of its proper divisors (361821876228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231335506044 is a wasteful number, since it uses less digits than its factorization.

231335506044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23967 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 231335506044 in words is "two hundred thirty-one billion, three hundred thirty-five million, five hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4723 9446 14169 18892 19163 28338 38326 42507 56676 57489 76652 85014 114978 170028 172467 229956 335333 344934 670666 689868 1005999 1341332 1360573 2011998 2721146 3017997 4023996 4081719 5442292 6035994 8163438 12071988 12245157 16326876 24490314 48980628 90506849 181013698 271520547 362027396 543041094 814561641 1086082188 1629123282 3258246564 6425986279 12851972558 19277958837 25703945116 38555917674 57833876511 77111835348 115667753022 231335506044